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I didn't see the Jelliss note on Sea Pieces until about a year after I designed Jumping Chess. At the time, I felt a bit disappointed that others had had the same idea first. Then I got a copy of the Encyclopedia of Chess Variants, and realized it had been tried a bunch of times . . .
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The Amphibian Chess approach seems workable, although it may still favor the defense, since an unbroken array is only vulnerable from rank 3 Knight attacks and by diagonal attacks on Rook's Pawns, which are, of course, generally protected by Rooks. But still, if an opponent just sits there, shuttling a Knight back and forth, you could eventually mount an attack on them -- something you could not do with pure Sea Chess.
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A vicious version of Amphibian Chess would be to allow a replacement capture when the target square is either nonexistant <strong>or empty</strong>, but that'd probably be a bit much.
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By using a Mirror-Knight (moves like a Moa) instead of one of the Knights you would balance the number of pieces (other than Pawns) that capture by leaping diagonally and those that capture by leaping orthogonally. Not critical, but I think it would be nice.